A method of producing an adhesive tape having at least one carrier layer and two outer adhesive layers, wherein the carrier layer is from 300 μm to 5000 μm thick and is composed of a photoinitiator-free homogeneously thermally crosslinked polymer based on acrylate and/or methacrylate, in which at least one trimerized isocyanate crosslinker is added in the melt to a polyacrylate copolymer having primary hydroxyl groups and based on acrylic esters and/or methacrylic ester, a layer of the polyacrylate together with the crosslinker is conveyed to a coating unit, where pressure-sensitive adhesive layers are laminated onto both sides of the not-yet fully-crosslinked polyacrylate layer, and the crosslinking of the polyacrylate leads to a homogeneously crosslinked carrier layer.